The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity v
(x), measured in centimeters per second
What is true of the cosine function that models the data in the table?
Drag a value into each box to correctly complete the statements.
The period of the cosine function is The equation of the midline of the cosine function is y = 20 The amplitude of the cosine function is 
What is true of the cosine function that models the data in the table?
Drag a value into each box to correctly complete the statements.
The period of the cosine function is The equation of the midline of the cosine function is y = 20 The amplitude of the cosine function is
1 answer:
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<h2>Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.